then get a rectangular peice of 1/4 inch plywood. Cut a retangular about 14 inches by four inches.
apply some wood glue or liquid nails to the top of the ply then place it where the fasteners are to fasten to the counter. Hold it there for a minute or so and then screw the screws in to the ply wood and they will connect into the counter and create a good holding connection. Again, use larger dia screws since you will be going into the same holes again.
Actually, this is just for some of those people that want a screw into every area called for one. This won't move around or cause any problem if not even attached.